Answer:
x=31.09m
Explanation:
p1=p2
The momentum of flatcar and the momentum of the worker so
The velocity of the worker is:

The total motion has a total velocity and is

The time the worker take walking is

Now the total time and the total velocity determinate the motion of tha flatcar how far has moved

We can do this with the conservation of momentum. The fact it is elastic means no KE is lost so we don't have to worry about the loss due to sound energy etc.
Firstly, let's calculate the momentum of both objects using p=mv:
Object 1:
p = 0.75 x 8.5 = 6.375 kgm/s
Object 2 (we will make this one negative as it is travelling in the opposite direction):
p = 0.65 x -(7.2) = -4.68 kgm/s
Based on this we know that the momentum is going to be in the direction of object one, and will be 6.375-4.68=1.695 kgm/s
Substituting this into p=mv again:
1.695 = (0.75+0.65) x v
Note I assume here the objects stick together, it doesn't specify - it should!
1.695 = 1.4v
v=1.695/1.4 = 1.2 m/s to the right (to 2sf)
Answer:
14.715 m
Explanation:
Assume that the acceleration due to gravity is 9.81 m/s^2 downwards, take downwards as positive
First second:
v = u + at
v = 9.81 m/s
Second second:
s = ut + (1/2)at^2
s = 9.81(1) + (1/2)(9.81)(1)^2
s = 14.715 m
Answer:
Yes
Explanation:
The velocity measured by Jennifer and Johnny is

The actual velocity is

We can calculate the % error of the students measurement as follows:

Which is lower than the 2.5% maximum error required, so the two students will pass the test.